Reidemeister torsion of a 3-manifold obtained by a Dehn-surgery along the figure-eight knot
arXiv:1506.00712
Abstract
Let M be a closed 3-manifold obtained by Dehn surgery along the figure-eight knot. We give a formula of the Reisdemeisiter torsion of M for any irreducible SL(2;C)-representation. It is described as a rational expression of the trace of the image of the meridian.
arXiv comment7 pages
Cited by in corpus (4)
- Reidemeister torsion, hyperbolic three-manifolds, and character varieties
- Some numerical computations on Reidemeister torsion for homology 3-spheres obtained by Dehn surgeries along the figure-eight knot
- A polynomial defined by the SL(2;C)-Reidemeister torsion for a homology 3-sphere obtained by a Dehn surgery along a (2p,q)-torus knot
- A polynomial defined by the -Reidemeister torsion for a homology 3-sphere obtained by Dehn-surgery along a torus knot